Work

A removable singularity in a suitable weak solution to the Navier–Stokes equations

Year: 2012

Type: article

Abstract: We formulate a new criterion for regularity of a suitable weak solution v to the Navier–Stokes equations at the point ( x 0 , t 0 ). We show that it is sufficient to impose conditions on the Serrin-type integrability of v and the associated pressure p in a parabolic neighbourhood of ( x 0 , t 0 ), intersected with the exterior of a certain space–time paraboloid with the vertex at point ( x 0 , t 0 ). We make no special assumptions on v or p in the interior of the paraboloid.

Source: Nonlinearity

DOI: 10.1088/0951-7715/25/6/1695

Author: Jiří Neustupa

Institutions: Czech Academy of Sciences, Czech Academy of Sciences, Institute of Mathematics

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: Grantová Agentura České Republiky, Akademie Věd České Republiky

Awards: G1741043573, G3063752827, G3967893287, Qualitative analysis and numerical solution of flow problems, G7574269588